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Equations reducible to quadratics

Equations reducible to quadratics

Secondary 2
6 marks
TGM Original Questions

Optional extension

  1. Solve \(x^2-3x-10=0\).[2]
  2. Hence solve
    1. \((p^2-4p)^2-3(p^2-4p)-10=0\), and[2]
    2. \(9y^4-9y^2-10=0\), giving real solutions only.[2]

Solution:

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Answer:(a) \(x=5,-2\) (b)(i) \(p=5,-1,2\pm\sqrt2\) (ii) \(y=\pm\sqrt{\dfrac53}\).

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